100011221100021 has 32 divisors (see below), whose sum is σ = 166347912646656. Its totient is φ = 51924039480000.

The previous prime is 100011221099971. The next prime is 100011221100041. The reversal of 100011221100021 is 120001122110001.

It is not a de Polignac number, because 100011221100021 - 2⁷ = 100011221099893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011221100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123937005 + ... + 124741346.

It is an arithmetic number, because the mean of its divisors is an integer number (5198372270208).

Almost surely, 2^{100011221100021} is an apocalyptic number.

100011221100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011221100021 is a deficient number, since it is larger than the sum of its proper divisors (66336691546635).

100011221100021 is a wasteful number, since it uses less digits than its factorization.

100011221100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248680113.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011221100021 its reverse (120001122110001), we get a palindrome (220012343210022).

The spelling of 100011221100021 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, one hundred thousand, twenty-one".